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Can an irrational number be a whole number?

No it cannot. Any whole number, n, can be written as the ratio n/1 where n is an integer. Since it can be expressed as a ratio of two integers, it is rational and so cannot be irrational.


If Dividing a irrational number by an irrational will be a irrational?

Yes normally but if both irrational number are the same then the quotient will be 1


Can you multiply an irrational number times an irrational number and get a rational number?

Well, (pi) x (1/pi) = 1 .


Can An irrational number divided by an irrational number equals a rational number?

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.


Is -3.14 an irrational number?

-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.

Related Questions

Can an irrational number be a whole number?

No it cannot. Any whole number, n, can be written as the ratio n/1 where n is an integer. Since it can be expressed as a ratio of two integers, it is rational and so cannot be irrational.


Is every integer an irrational number?

No integer is an irrational number. An irrational number is a number that cannot be represented as an integer or a fraction.All integers which are whole numbers are rational numbers.


What is a negative irrational number?

A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.


What number produces an irrational number when added to 0.5?

Any irrational number added to 0.5 will produce an irrational number.


If Dividing a irrational number by an irrational will be a irrational?

Yes normally but if both irrational number are the same then the quotient will be 1


Is negative pi rational or irrational?

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.


Can you add an irrational number and a rational number to give an irrational?

No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.


Is 1 - pi rational or irrational?

It is an irrational number


Does an irrational number times an irrational number equal an irrational number?

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.


Is 1 an irrational number?

No. An irrational number is a number that neither terminates nor repeats. Since 1 terminates, it is called a rationalnumber.No. An irrational number is a number that is not rational. Rational numbers are those who can be defined as the division of two integer numbers. As 1 is 1/1, it is a rational number, so, it's not irrational.


What number produces an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.


Can you multiply an irrational number times an irrational number and get a rational number?

Well, (pi) x (1/pi) = 1 .